2 papers
math.AG2018
Positive one-point commuting difference operators
Gulnara S. Mauleshova, Andrey E. Mironov
In this paper we study commuting difference operators containing a shift operator with only positive degrees. We construct examples of such operators in the case of hyperelliptic s…
math.AG2017
On Rank Two Algebro--Geometric Solutions of an Integrable Chain
Gulnara S. Mauleshova, Andrey E. Mironov
In this paper we consider a differential--difference system which is equivalent to the commutativity condition of two differential--difference operators. We study the rank two alge…